log-normal distribution

Summary

log-normal distribution ranks in the top 0.89% of general entities by monthly Wikipedia readership (1,565 views/month, #689 of 77,819).^[1]

Key Facts

• log-normal distribution's GND ID is recorded as 4221613-8^[2].
• log-normal distribution's Library of Congress authority ID is recorded as sh85078134^[3].
• log-normal distribution's subclass of is recorded as exponential family^[4].
• log-normal distribution's subclass of is recorded as continuous probability distribution^[5].
• log-normal distribution's Commons category is recorded as Log-normal distribution^[6].
• log-normal distribution's Freebase ID is recorded as /m/0py6j^[7].
• log-normal distribution's described by source is recorded as ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability^[8].
• log-normal distribution's defining formula is recorded as f(x) = \frac{1}{x \sigma \sqrt{2 \pi}} \mathrm{e}^{-\frac{(\ln x - \mu)^2}{2 \sigma^2}}^[9].
• log-normal distribution's MathWorld ID is recorded as LogNormalDistribution^[10].
• log-normal distribution's Great Russian Encyclopedia Online ID is recorded as 2177529^[11].
• log-normal distribution's Quora topic ID is recorded as Log-normal-Distribution^[12].
• log-normal distribution's IUPAC Gold Book ID is recorded as L03614^[13].
• log-normal distribution's maintained by WikiProject is recorded as WikiProject Mathematics^[14].
• log-normal distribution's Microsoft Academic ID is recorded as 151620405^[15].
• log-normal distribution's Brilliant Wiki ID is recorded as log-normal-distribution^[16].
• log-normal distribution's in defining formula is recorded as f(x)^[17].
• log-normal distribution's in defining formula is recorded as \ln x^[18].
• log-normal distribution's National Library of Israel J9U ID is recorded as 987007536256605171^[19].
• log-normal distribution's OpenAlex ID is recorded as C151620405^[20].
• log-normal distribution's Encyclopedia of China is recorded as 231926^[21].
• log-normal distribution's support of a function is recorded as x > 0^[22].
• log-normal distribution's cumulative distribution function is recorded as \frac{1}{2} \operatorname{erfc}\left( \frac{\mu - \ln x}{\sqrt{2} \sigma} \right)^[23].
• log-normal distribution's mean of a probability distribution is recorded as \mathrm{e}^{\mu + \frac{\sigma^2}{2}}^[24].
• log-normal distribution's median of a probability distribution is recorded as \mathrm{e}^{\mu}^[25].
• log-normal distribution's variance of a probability distribution is recorded as \mathrm{e}^{2 \mu + \sigma^2} \left( \mathrm{e}^{\sigma^2} - 1 \right)^[26].

Why It Matters

log-normal distribution ranks in the top 0.89% of general entities by monthly Wikipedia readership (1,565 views/month, #689 of 77,819).^[1] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.^[27] It is known by 24 alternative names across languages and contexts.^[28]